Magma V2.19-8 Tue Aug 20 2013 17:58:00 on localhost [Seed = 2732791528] Type ? for help. Type -D to quit. Loading file "10_159__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_159 geometric_solution 11.74064104 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467359389094 0.929896095158 0 5 6 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998661035210 1.519584047579 7 0 8 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304273515781 0.400918287873 9 9 6 0 0132 1230 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 6 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442387405641 0.724466460352 10 11 0 11 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568510961884 0.858525539469 12 1 7 9 0132 0132 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.077176950373 0.853775267317 10 12 3 1 3120 1230 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017304257018 0.598380104219 2 12 5 10 0132 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.998298674408 1.355401735907 10 11 9 2 2310 0321 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823356504378 1.284260207313 3 5 3 8 0132 1302 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386049088923 1.005423838261 4 7 8 6 0132 0321 3201 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647706636591 0.478312802125 4 4 12 8 3012 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467359389094 0.929896095158 5 7 6 11 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269685157102 0.429572439898 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0011_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0101_8, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 329/8*c_1001_3 + 4181/24, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_3 - 1/2, c_0011_3 + 1/2*c_1001_3 + 1/2, c_0011_6 + c_1001_3 + 1, c_0011_8 + 1/2*c_1001_3 + 3/2, c_0101_0 - 1, c_0101_1 - c_1001_3, c_0101_11 + 1/2*c_1001_3 - 1/2, c_0101_3 - c_1001_3 + 1, c_0101_7 + 1/2*c_1001_3 + 1/2, c_0101_8 - 1/2*c_1001_3 - 1/2, c_1001_2 - 3/2*c_1001_3 - 3/2, c_1001_3^2 + 4*c_1001_3 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0101_8, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - c_1001_3^2 + 14*c_1001_3 - 10, c_0011_0 - 1, c_0011_10 - c_1001_3 - 1, c_0011_3 - c_1001_3^2 - c_1001_3 - 1, c_0011_6 - c_1001_3^2 - 2*c_1001_3 - 1, c_0011_8 + c_1001_3^2 + c_1001_3 + 1, c_0101_0 + c_1001_3 + 1, c_0101_1 - c_1001_3^2 - c_1001_3 - 1, c_0101_11 + 1, c_0101_3 + c_1001_3^2 + c_1001_3 + 1, c_0101_7 - c_1001_3, c_0101_8 - c_1001_3^2 - 2*c_1001_3 - 2, c_1001_2 - 1, c_1001_3^3 + c_1001_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.660 Total time: 2.870 seconds, Total memory usage: 83.69MB